Local-Field Distribution in Random Dielectric Media

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Abstract
By generalizing Onsager's reaction-field approach, we calculate the local filed in random dielectric media characterized by uniform or percolative correlations. The distribution of the local field is found to display a double-peak character in general. We show that the variance of the distribution is linearly correlated to the deviation of the mean from the Lorentz value, where the latter quantity is also identified as the correlation to the Clausius-Mossotti relation. Structural correlations are demonstrated to have a significant effect in determination of the distribution characteristics.
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